Model Reference Control for Timed Event Graphs in Dioids

Bertrand Cottenceau (1) , Laurent Hardouin (1) , Jean-Louis Boimond (1) , Jean-Louis Ferrier (1)

1 LISA - Laboratoire d'Ingéniérie des Systèmes Automatisés

This paper deals with feedback controller synthesis for Timed Event Graphs in dioids. We discuss here the existence and the computation of a controller which leads to a closed-loop system whose behavior is as close as possible to the one of a given reference model and which delays as much as possible the imput of tokens inside the (controlled) system. The synthesis presented here is mainly based on residuation theory results and some Kleene star properties.

Mots clés: Feedback Synthesis; Discrete Event Systems; Timed Event Graphs; Dioid; Residuation Theory; Feedback Synthesis.

Domaines: Sciences de l'ingénieur [physics]

Bertrand Cottenceau, Laurent Hardouin, Jean-Louis Boimond, Jean-Louis Ferrier. Model Reference Control for Timed Event Graphs in Dioids. Automatica, 2001, 37, pp.1451-1458. ⟨hal-00845151⟩